Question
Study the computation below then answer the question \( 6000-1984=5999-1983=5016 \) The algorithm illustrated in the subtraction sum makes use of the principle of a. decomposition b. equal subtraction c. equal addition d. Russian method
Ask by Ford Thornton. in Guyana
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The computation uses the principle of **equal subtraction**.
Solution
To analyze the computation \( 6000 - 1984 = 5999 - 1983 = 5016 \), we can break it down as follows:
1. **First Calculation**:
- \( 6000 - 1984 = 4016 \)
2. **Second Calculation**:
- \( 5999 - 1983 = 4016 \)
Both calculations yield the same result, which indicates that the same amount is being subtracted from two different numbers.
The principle being used here is that if you subtract the same amount from two different numbers, the results will be equal. This is known as the principle of **equal subtraction**.
Thus, the correct answer is:
**b. equal subtraction**.
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Simplify this solution The Deep Dive
The computation cleverly illustrates the principle of equal subtraction, where the same amount is subtracted from both sides of an equation. By subtracting 1 from both 6000 and 5999, the manipulations on both sides remain valid while simplifying the problem - a neat trick to make tricky subtractions a breeze! This method of manipulating numbers to make equations easier is not just a brain teaser; it's a practical technique used in mental math and everyday calculations. Whether you’re balancing your budget or doing quick estimates, knowing how to adjust figures equally can save you time and effort in your computations!
